Dynamic Dependency Pairs for Algebraic Functional SystemsArticle
Authors: Cynthia Kop ; Femke van Raamsdonk
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Cynthia Kop;Femke van Raamsdonk
We extend the higher-order termination method of dynamic dependency pairs to
Algebraic Functional Systems (AFSs). In this setting, simply typed lambda-terms
with algebraic reduction and separate {\beta}-steps are considered. For
left-linear AFSs, the method is shown to be complete. For so-called local AFSs
we define a variation of usable rules and an extension of argument filterings.
All these techniques have been implemented in the higher-order termination tool
WANDA.